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How do you factor #-36x^2 + 36y^2#?

1 Answer

May 18, 2016

#-36x^2+36y^2= color(green)((-36)(x-y)(x+y))#

Explanation:

#-36x^2+36y^2#
#color(white)("XXX")=(-36)(x^2-y^2)#

#color(white)("XXX")=(-36)(x-y)(x+y)#

#(-36)# could be further factored as #(-1)(6^2)# or #(-1)(2^2*3^2)# but I'm not sure there is any point in doing this.

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